Spectwarper uses an expanded compansion scheme to highlight either a sound's stronger, resonant components or its weaker noise/residual components. Spectwarper is fairly similiar to compander; however, unlike compander which compands bins against the constant peak of an input response file, spectwarper compands bins using a peak drawn (in the current frame) from a narrow frequency band centered around the value being processed. This causes the compansion or "warping" of the amplitudes to accentuate(expansion) or mask(compression) formants located within the frequency bands; the result being the noise/pitch highlighting mentioned earlier. Part of this comes from the treatment of compression in Spectwaper. Unlike compander which only reduces the amplitude above the threshold when compressing, spectwarper reduces the amplitude of the entire range, becoming, in effect, an expander of the strongest amplitudes that expands them (when the compression level is severe) out of the picture. Spectwarper is one of my favorite routines of late simply because it provides such a simple and powerful control over the noise and pitch characteristics of a sound. I love it, and use it often.
Amplitude Reports Print Mode
Two flags are provided for controlling the output amplitude statistics; one turns the statistics on or off, and the other sets how often they will be reported. The statistics provide the peak output level in amplitude and decibels. With integer format output files, output values exceeding the normalized peak amplitude of 1. (0 dB) are clipped to a value of 1.0, and the statistics placed in clip mode; in clip mode reports are made only for frames where clipping occurs. The peak amplitude, its time, and the number of clipped samples are reported at the end of processing. With floating-point format output files, output values exceeding the normalized peak amplitude of 1. are not clipped since they will be rescaled in the second pass; output statistics proceed normally throughout. The levels before and after rescaling are reported at the end of processing.
0 turns amplitude reports off, 1 turns them on.
Analysis Frames per Second
This controls how often the phase vocoder will perform an analysis on the signal. It is a translation of the classic decimation control that specifies how many samples to skip between analysis frames. More frames increases the resolution of time but decrease speed. 200 frames per second is a good reference point. If you expand time you should increase this proportionately to maintain about 200 or more frames per second.
Compander Response Time in Seconds
Use values from .01-.2 or more to remove the gurgle and roughness caused by the scillation of components into and out of the compansion band.
Compander Window Size in Octaves
Compression/expansion is created by warping the amplitudes in a specific window relative to the peak amp in that window. When the window is not 0, this parameter determines the window size which is centered around each of the bins. Otherwise there is only one peak.
The larger the window, the more suppression there will be in favor of the few strongest formants. Try 1 octave window. Very large windows are equivalent to 0 which uses one window for the whole spectrum.
Compression Threshold in dB
Determines the threshold for compression. Any frequency louder than this parameter will be compressed.
Decibels of Expansion
Determines how much louder to make sounds which are quieter than the expansion threshold.
End Time in Seconds
The time, in seconds, at which to stop processing the soundfile. 0 or less is equivalent to the duration of the soundfile.
Low/High Shelf Equalization
Equalization has been provided at various points in routines to allow for the needed adjustment of spectra. The EQ consists of low and hi shelf segments, whose width is adjusted through control of the shelf breakpoint frequency. The region between the shelf segments is represented by a linear decibel gradient between the decibel levels of the two shelves. Some routines implement the EQ before pitch changes, others after. EQ placed before pitch changes (pre-transpose/shift) will cause the EQ to be transposed with the pitch changes, whereas afterwards (post-transpose/shift) will keep them fixed as shifts and transpositions occur.
Low Shelf Gain
Determines how the amplitude of sounds below the low shelf frequency will be affected.
High Shelf Gain
Determines how the amplitude of sounds above the high shelf frequency will be affected.
Low Shelf Frequency
Determines the frequency below which the low shelf gain will be used.
High Shelf Frequency
Determines the frequency above which the high shelf gain will be used.
Expansion Threshold in dB
Determines the threshold of expansion. Any frequencies quieter than this will be increased by the dB of the expansion gain parameter.
FFT Length
The FFT size must be a power of 2. Larger FFT sizes resolve frequencies better but transient behavior more poorly. Choose your FFT size according to the sound you are working with. A size of 1024 or 2048 works well in most cases.
Frequency Shift Factor
With the frequency shift control, a constant or function value is added to all the bin frequencies to produce a nonlinear pitch domain translation of the spectrum. Frequency shift is related to things like ring modulation and their similarly nonlinear shifts of pitch characteristics. Use this to create small distortions of the harmonic integrity of a sound.
Gain in Decibels
The output and other components can be gained. 0 dB represents unity gain, no change. A change of +/- 6 dB represents a doubling or halving of the amplitude. Increments of 10 dB are loosely associated with one change in dynamic level.
High Cutoff Frequency
The top barrier for companding. Frequencies above this point will not be affected during compression/expansion.
Low Cutoff Frequency
The bottom barrier for companding. Frequencies below this point will not be affected during compression/expansion.
Oscillator Resynthesis Threshold in Decibels
The phase vocoder resynthesizes the signal using one of two methods, depending on the type of changes made to the FFT. If the changes are only to the magnitudes (amplitudes), then the faster overlap/add method is used. If however changes in frequency are made, then the FFT integrity is compromised, necessitating use of the oscillator bank method in which each bin is synthesized as a sine wave changing in frequency and amplitude. This method is slower, although a resynthesis threshold is available that can be used to increase the computation speed by turning off bins whose amplitude falls below the threshold. A threshold of -60dB is appropriate, although safety warrants using a lower threshold if the spectrum is thin and its decays exposed; use your ear.
Output Format
The output sound file is written as a NeXT/Sun format sound file in either 16-bit short or 32-bit floating point format, of one or more channels. The channels are processed one at a time beginning with the first channel. The first pass writes zeros in the channels yet to be processed, replacing them when processing proceeds to those channels.
0 tells PVCX to use the format of the input file, 1 equals integer format, and 2 equals rescaled floats.
Peak Rescale Level
Selection of the floating-point, output-file format invokes an amplitude rescaling feature. Once processing is complete, a second pass through the sound file is made to rescale the values to the decibel level specified. A dB rescale level of 1 causes rescaling to the level of the original input file.
Pitch Transposition in Semitones
With the pitch transposition control, a constant or function value is multiplied against all bin frequncies. This is classic transposition, here specified in semitones of transposition (12 semitones equals an octave). Conversion is made to produce the appropriate frequency multiplier.
Resynthesis Channel
All routines allow both monophonic and multi-channel input files to be processed. With multi-channelled files, you can either select one channel and produce a monophonic output file, or process all the channels. Channels are numbered beginning with 1. Processing of multi-channelled files is done one channel at a time beginning with channel 1, with zeros written to channels which have yet to be processed. Processing one channel at a time requires less memory and allows you to audition the output sooner than if you did all channels at once.
Use 0 to process all channels.
Time Expansion/Contraction Factor
Once the spectral modifications are made to the FFT analysis, an inverse FFT is invoked to produce the samples of a time-domain signal. The classic phase vocoder paradigm controls the number of samples through the interpolation value and its relation to the decimation. The arcane relationship of decimation and interpolation is here translated into the parameter of time expansion/contraction, allowing for the direct scaling of time. Use values greater than 1 to expand time, less than 1 contract it.
Time Interval Between Reports
Determines the interval in seconds of the soundfile between amplitude reports. See Amplitude Reports Print Mode for a further explaination.
Warp Curve Index
Many of the routines employ the principle of warping in which a distribution of values is transformed by an identity function. In these places an exponential function is employed to remap a 0-1 range of values into a new orientation that preserves the minima (0) and maxima (1) while bringing the distribution closer to either extreme as a result of the curvature of the exponential function selected. The curvature of the exponential function is selected through a warp index. Specifically, warp index w will reorient the input x through the function below (^ = exponentiation).
y = (1. - (e^(x * w))) / (1. - (e^w))
In this function, the warp index of 0 produces a linear function and an untransformed output. Positive warp index values of increasing magnitude produce curves of increasing concavity (increasing slope) that draw values towards the 0-valued minima, and reduce the function integral. Negative values do the opposite, drawing values towards the maxima of 1, increasing the integral.
The practical use of this mechanism is found in various places. One such place is the reshaping of the frequency response distribution characteristics. In this, positive warp indeces cause the peaks of the response to be accentuated while the weaker frequencies are expanded out (i.e. pushed towards 0). Negative values have the opposite effect as they compress the dynamic range of the response and raise the relative level of the weaker noise components. Another place where warp applies is in the remapping of FFT amplitudes through the spectrum warpshape. In this, the sucessive FFT frames have their amplitudes remapped by the identity function, similiarly expanding or compressing the dynamic range depending upon the warp specified; 0 (linear warp function) leaves the amplitudes unchanged.
Window Size in Samples
The window size is a less opaque parameter; like the FFT, it must be a power of 2. Windows twice the size of the FFT work well. Larger window sizes may resolve frequencies better. Specifying 0 for the window size will automatically set the window to twice the FFT size.
Window Type
The FFT and inverse FFT are computed using a window. Like the FFT size, the shape of the window used can effect the quality of the analysis and resynthesis. (See F.R.Moore, Stieglitz, or Roads for further explanation.) A variety of windows are available including: Hamming, Rectangular, Blackman, Triangular, and Kaiser (in 8 different forms as related to 8 different alpha values). Blackman (-w2) or Kaiser (-w8) are recommended for most applications. In some unusual cases where transient behavior is being lost, consider using other windows such as the Rectangular, although take care to assure that it is not producing pops or a buzzy sound.